Gödel's Incompleteness Theorems

“A delightful introduction to the Godel incompleteness theorems and related results… . reader is treated to a series of careful formulations and proofs of the central results, always with a high degree of generality and insight. The author has superbly combined his unique presentation of the ‘big picture’ with an appreciation of detail and rigor. Even readers who are already familiar with the incompleteness results will enjoy and benefit from this book.”–Mathematical Reviews”Elegant … the strategy … is highly instructive, as it casts the purpose behind each step of the proof in high relief.” –Choice”Combines scholarly contributions with the flavor of his popular works. Smullyan is not only an outstanding authority on this subject, but also a skilled pedagogue, with a special talent for formulating simple riddles, which illuminate this very difficult and profound subject… . an important contribution toward the wider understanding of the work of Godel and his followers… . Smullyan plays a significant role in the further development of mathematicallogic and the elucidation of its relation to metamathematics. He continues to be one of the foremost popularizers of the subject.” –American Scientist”Smullyan lives up to his aims. The book provides a highly accessible, user-friendly introduction to incompleteness… . the treatment is rigorous and contains material that even a professional logician can find informative and interesting… . Smullyan never confuses rigor with dullness or obscurity. His writing is clear and lively … . I am eagerly awaiting the sequel’s appearance.” –Leon Harkleroad, Modern Logic

Raymond M. Smullyan, an internationally known mathematical logician, is the author of several books including “Alice in Puzzle Land, This Book Needs No Title,” and “Five Thousand B.C. and Other Philosophical Fantasies.”